Sustainability: Exponential Growth, Decay and Resource Models | 可持续性:指数增长、衰减与资源模型

📚 Sustainability: Exponential Growth, Decay and Resource Models | 可持续性:指数增长、衰减与资源模型

While ‘Sustainability’ is not a separate Edexcel module, the mathematical tools behind it appear throughout the Pure and Applied specifications. This article brings together the exponential, logarithmic and differential equation techniques that Edexcel exam papers frequently test.

虽然 ‘可持续性’ 不是 Edexcel 的独立模块,但其背后的数学工具贯穿纯数学和应用数学规范。本文将 Edexcel 试卷中经常考查的指数、对数和微分方程技巧整合在一起。


1. Why Sustainability Appears in A-Level Maths | 为什么可持续性出现在 A-Level 数学中

Sustainability is not a separate Edexcel topic, but it links many parts of the specification: exponential growth, logarithmic graphs, differential equations and rates of change. Models of population, pollution, radioactive decay and resource use all fit this theme.

可持续性并不是 Edexcel 一个独立的专题,但它连接了规范中的许多部分:指数增长、对数图像、微分方程和变化率。人口、污染、放射性衰变和资源使用等模型都符合这一主题。

The key idea is that many environmental quantities change at a rate proportional to their current value, leading to exponential models.

关键思想是,

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